where \(\zeta (n)\)  is Riemann zeta function.
Equation (REF ) matches the general expression for the asymptotic limit
\(\lim _{n \rightarrow \infty } \mathbb {E}[L_n]\)  for regular graphs with i.i.d. uniformly distributed edge lengths as derived in Beveridge et al [1]},
thus, validating the general formula (REF ) in Corollary REF .

